I see you have TS2009, so both it and TRS2006 save the downloaded assets into the 'local' folder in the respective installations. The asset files are stored in a sub folder (one for each asset) whose name is encoded by Content Manager.
You should never need to access these asset in the local folder directly. And you are risking a problem if you do..
When you open an asset for editing it is decoded and copied to the 'editing' folder in a new sub folder whose name is generally the asset's name.